Determine if the given relation on antisymmetric, or transitive. (a, b, c,d) is reflexive, symmetric, 1. [ (α, α) , (b, b) ((a, a), (a, b), (b, b), (c, c), (d, d)) 2. 1 (α, b ) (α, c) , (b, e) 3. ø 4.
on the set of people: is the relation has the same color hair 6. symmetric? 5. reflexive? 8. transitive? 7. antisymmetric? redo exercises 5-8 using the relation lives within 5 miles of on the set of people. 9-12.

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.

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step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

step-by-step explanation: